Solving Linear Equations

Solving Linear Equations

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = c, where a, b, and c are constants.

2.

FLASHCARD QUESTION

Front

How do you isolate a variable in a linear equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

3.

FLASHCARD QUESTION

Front

What is the first step in solving the equation 3w + 5 = 14?

Back

Subtract 5 from both sides of the equation to begin isolating w.

4.

FLASHCARD QUESTION

Front

What does it mean to 'combine like terms' in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

5.

FLASHCARD QUESTION

Front

How do you solve the equation 4x + 1 = 7x - 5?

Back

First, subtract 4x from both sides to get 1 = 3x - 5. Then, add 5 to both sides to get 6 = 3x. Finally, divide by 3 to find x = 2.

6.

FLASHCARD QUESTION

Front

What is the solution to the equation 8x + 2 + 3x + 5 = x + 12?

Back

Combine like terms to get 11x + 7 = x + 12. Then, subtract x from both sides to get 10x + 7 = 12. Subtract 7 from both sides to get 10x = 5, and divide by 10 to find x = 1/2.

7.

FLASHCARD QUESTION

Front

How do you check if your solution to a linear equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

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